Lessons from the information paradox

S Raju - Physics Reports, 2022 - Elsevier
We review recent progress on the information paradox. We explain why exponentially small
correlations in the radiation emitted by a black hole are sufficient to resolve the original …

Equilibration, thermalisation, and the emergence of statistical mechanics in closed quantum systems

C Gogolin, J Eisert - Reports on Progress in Physics, 2016 - iopscience.iop.org
We review selected advances in the theoretical understanding of complex quantum many-
body systems with regard to emergent notions of quantum statistical mechanics. We cover …

Quantum chaos and thermalization in isolated systems of interacting particles

F Borgonovi, FM Izrailev, LF Santos, VG Zelevinsky - Physics Reports, 2016 - Elsevier
This review is devoted to the problem of thermalization in a small isolated conglomerate of
interacting constituents. A variety of physically important systems of intensive current interest …

Random-matrix theories in quantum physics: common concepts

T Guhr, A Müller–Groeling, HA Weidenmüller - Physics Reports, 1998 - Elsevier
We review the development of random-matrix theory (RMT) during the last fifteen years. We
emphasize both the theoretical aspects, and the application of the theory to a number of …

Quantum chaos

HJ Stöckmann - Quantum Chaos, 2007 - ui.adsabs.harvard.edu
Quantum Chaos - NASA/ADS Now on home page ads icon ads Enable full ADS view NASA/ADS
Quantum Chaos Stöckmann, Hans-Jürgen Abstract Preface; 1. Introduction; 2. Billiard …

Chaos and the quantum phase transition in the Dicke model

C Emary, T Brandes - Physical Review E, 2003 - APS
We investigate the quantum-chaotic properties of the Dicke Hamiltonian; a quantum-optical
model that describes a single-mode bosonic field interacting with an ensemble of N two …

Simple models of quantum chaos: Spectrum and eigenfunctions

FM Izrailev - Physics Reports, 1990 - Elsevier
The statistical properties of so-called quantum chaos are considered on the basis of the well-
known model of a kicked rotator. Attention is paid mainly to the quasienergy spectrum and …

Semiclassical theory of spectral rigidity

MV Berry - Proceedings of the Royal Society of London …, 1985 - royalsocietypublishing.org
The spectral rigidity⊿(L) of a set of quantal energy levels is the mean square deviation of
the spectral staircase from the straight line that best fits it over a range of L mean level …

Onsager's scars in disordered spin chains

N Shibata, N Yoshioka, H Katsura - Physical Review Letters, 2020 - APS
We propose a class of nonintegrable quantum spin chains that exhibit quantum many-body
scars even in the presence of disorder. With the use of the so-called Onsager symmetry, we …

Manifestations of classical phase space structures in quantum mechanics

O Bohigas, S Tomsovic, D Ullmo - Physics Reports, 1993 - Elsevier
Using two coupled quartic oscillators for illustration, the quantum mechanics of simple
systems whose classical analogs have varying degrees of non-integrability is investigated …